A chef wants to conduct an experiment on the slice marks of two type of knives: paring and carving. He wants the perfect slice mark to showcase his tomatoes for an upcoming competition. He has 40 perfectly ripe tomatoes for this experiment. Which of the following is the correct method for randomization using a random number generator within this experiment?Label all the tomatoes with a number from 1 to 40, and use a random number generator to choose 40 unique numbers between 1 and 40. The tomatoes represented by those 40 numbers will be sliced with the paring knife. Label all the tomatoes with a number from 1 to 40, and use a random number generator to choose 20 numbers between 1 and 40. The tomatoes represented by those 20 numbers will be sliced with the paring knife, and the remaining 20 tomatoes will be sliced with the carving knife. Label all the tomatoes with a number from 1 to 40, and use a random number generator to choose unique numbers between 1 and 20. The tomatoes represented by those 20 numbers will be sliced with the paring knife and the remaining 20 tomatoes will be sliced with the carving knife. Label all the tomatoes with a number from 1 to 40, and use a random number generator to choose 20 unique numbers between 1 and 40. The tomatoes represented by those 20 numbers will be sliced with the paring knife and the remaining 20 tomatoes will be sliced with the carving knife. Label the larger tomatoes with a number from 1 to 20 and the smaller tomatoes a number from 21 to 40. Use a random number generator to choose 20 unique numbers between 1 and 20. The tomatoes represented by those 20 numbers will be sliced with the paring knife and the remaining 20 tomatoes will be sliced with the carving knife.

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step-by-step explanation:

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ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

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step-by-step explanation: